|
Search: id:A005377
|
|
|
| A005377 |
|
Number of low discrepancy sequences in base 4.
(Formerly M0504)
|
|
+0
1
|
|
| 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
REFERENCES
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Harald Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), no. 1, 51-70.
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
FORMULA
|
G.f.: (x^4 + x^10 ) / (1 - 2x + x^2 ).
|
|
MAPLE
|
A005377:=z**4*(z**2+1)*(z**4-z**2+1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Sequence in context: A120722 A090811 A032956 this_sequence A004272 A004279 A120370
Adjacent sequences: A005374 A005375 A005376 this_sequence A005378 A005379 A005380
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
njas, Simon Plouffe (plouffe(AT)math.uqam.ca)
|
|
|
Search completed in 0.002 seconds
|
